• Basic information
• Learning outcomes
• Contents
• Assessment
• Workload

Learning outcomes

Upon successful completion of this course, students will be able to:

1. Grasp some special rings

   Contribution to Program Outcomes

   1. Define and manipulate advanced concepts of Mathematics
   2. Acquire scientific knowledge and work independently
   3. Demonstrating professional and ethical responsibility.

   Method of assessment

   1. Written exam
   2. Oral exam
   3. Homework assignment
2. Manipulate and develop some e proof techniques over polynomial rings

   Contribution to Program Outcomes

   1. Define and manipulate advanced concepts of Mathematics
   2. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
   3. Acquire scientific knowledge and work independently
   4. Work effectively in multi-disciplinary research teams

   Method of assessment

   1. Written exam
   2. Oral exam
   3. Homework assignment
3. Demonstrate skills of problem-solving and brainstorming

   Contribution to Program Outcomes

   1. Define and manipulate advanced concepts of Mathematics
   2. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
   3. Acquire scientific knowledge and work independently
   4. Work effectively in multi-disciplinary research teams
   5. Design and conduct research projects independently
   6. Develop mathematical, communicative, problem-solving, brainstorming skills.
   7. Effectively express his/her research ideas and findings both orally and in writing
   8. Defend research outcomes at seminars and conferences.
   9. Write progress reports clearly on the basis of published documents, thesis, etc
   10. Demonstrating professional and ethical responsibility.

   Method of assessment

   1. Written exam
   2. Oral exam
   3. Homework assignment

Contents
Week 1:	The field of quotients of an integral domain
Week 2:	Euclidean rings
Week 3:	Polynomials over the rational fields
Week 4:	Polynomials over commutative rings
Week 5:	Reduced and Armendariz rings
Week 6:	Baer and quasi-Baer rings
Week 7:	Baer and quasi-Baer rings
Week 8:	Midterm exam
Week 9:	Wedderburn's theorem on finite division rings
Week 10:	Frobenius rings
Week 11:	Frobenius rings
Week 12:	Quasi-Frobenius rings
Week 13:	Quasi-Frobenius rings
Week 14:	Pseudo-Frobenius rings
Week 15*:	General review
Week 16*:	Final exam
Textbooks and materials:
Recommended readings:	1.) Cebir I-II; Abdullah Harmancı, Hacettepe Üniv. Yayınları 2.) Algebra; T. Hungerford, New York 1971 3.) Modules and rings; Kasch-Vallace, Academic Press, 1982. 4.) Abstract Algebra I-II; Beachy J.A., Lectures Notes on Rings and Modules, 1995. 5.) Rings and Categories of Modules; Anderson-Fuller, Springer-Verlag, New York 1974. 6. ) Topics in Algebra, I. Herstein
	* Between 15th and 16th weeks is there a free week for students to prepare for final exam.

Assessment
Method of assessment	Week number	Weight (%)
Mid-terms:	8	40
Other in-term studies:		0
Project:		0
Homework:		0
Quiz:		0
Final exam:	16	60
	Total weight:	(%)

Workload
Activity	Duration (Hours per week)	Total number of weeks	Total hours in term
Courses (Face-to-face teaching):	3	14
Own studies outside class:	4	14
Practice, Recitation:	0	0
Homework:	6	10
Term project:	0	0
Term project presentation:	0	0
Quiz:	0	0
Own study for mid-term exam:	10	1
Mid-term:	2	1
Personal studies for final exam:	15	1
Final exam:	2	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)